This restriction makes sense from a programming point of view as writing a program that finds all combinations is much easier once you restrict the combinations to be axis aligned. There would still have to be some way of avoiding configurations with overlapping bricks though. That's what worries me as well. This saved me roughly a factor 10 in space usage. In this instance your account or your PlayStation system may be banned from use on PlayStation Network. Here is a zip file with LDR-files showing what is supposedly all unique ways 4 bricks can be connected like this while not being axis aligned. Posted July 19, Edited July 18, by legomr. They decided to allow bricks at ANY level not just stacked verticallybut still only limited it to 90 degree rotations. There are many different models that share the same connection points which we want to think of as a single equivalence classbut it's not clear how big such a class is.
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To illustrate, let's number the eight connection points studs or anti-studs on the underside on a brick as follows:.
That paper is quite interesting as well, especially the argument on the lower bounds.
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The way you defined axis alignment, you can have one brick hanging off another brick by a single stud, and it can point in any direction relative to the first one. Granted, that storage mechanism means a lot of interpreting, so you'd likely be using up more CPU per comparison than the X,Y,Z coordinate representation.
I have just finished my own little program to check the common LEGO trivia of "how many combinations are there of X 2x4 bricks". With very few exceptions, you basically change the question from "find the number of all possible connections at aligned axes " to "find all possible connections [ If your Sony Entertainment Network account billing address does not match your card billing address, the payment may be stopped by the address verification system AVS.
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We can easily come up with great ideas to save space, custom search structures et al - it's the branching that makes me unruly!
My program favors simply trying out all combinations, but getting all combinations with cycles seem to be a tough challenge.
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Assume for simplicity that we are building configurations of size 6. I'm working on a connection-based format for the problem with angles as there are only 8 place on a brick to which angled connections can be made. If we count all combinations including hexagons and such, then I'm sure there are more than a billion combinations for six bricks.
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|The thing is that it's probably an interesting, classical problem in information science between memory usage, execution time consider searching for a particular combinationetc.
The way you defined axis alignment, you can have one brick hanging off another brick by a single stud, and it can point in any direction relative to the first one. You can see all the models that have been found here.
Contact the payment provider to find out if this is the case. To construct all these combinations I simply iterated through all combinations with 5 bricks from which you can add a single brick to get one of this type. Sign In Sign Up. When we were together doing the reunion tour, we put a lot of music together and I have like really sketchy little demos of probably 13 songs.
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Consider how much memory you need to store all possible combinations, for example. Probably more than most computers even today have.
To construct all these combinations I simply iterated through all combinations with 5 bricks from which you can add a single brick to get one of this type.
When we were together doing the reunion tour, we put a lot of music together and I have like really sketchy little demos of probably 13 songs. However, the original calculation was also very wrong. For 1 to 3 bricks you can try to combine them and see that no matter what you do, you can always turn the knobs and become axis-aligned.
So, the first two bricks are designated by the first eight plus eight for the third brick, plus eight for the fourth, etc.
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|Somewhere in the gigabyte range, depending on your data structure.
If the problem you have experienced is not solved or explained above, contact us for further assistance. This restriction makes sense from a programming point of view as writing a program that finds all combinations is much easier once you restrict the combinations to be axis aligned.
There are only 6 layers a brick can be at 3 bitand the orientation is either vertical or horizontal 1 bitso storing a brick requires:. So the two black bricks in this image are connected 1-on-1,2-on